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Exercise

$\lim_{x\to\infty}\left(\frac{\left(x\right)}{sin\left(x\right)}\right)$

Step-by-step Solution

1

The limit $\lim_{x\to\infty }\left(\frac{x}{\sin\left(x\right)}\right)$ is indeterminate, because the limit of trigonometric functions as $x$ approaches infinity is indeterminate

indeterminate

Final answer to the exercise

indeterminate

Try other ways to solve this exercise

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  • Solve using L'Hôpital's rule
  • Solve without using l'Hôpital
  • Solve using limit properties
  • Solve using direct substitution
  • Solve the limit using factorization
  • Solve the limit using rationalization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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